Rotating a ship with joystick and keeping camera centered.

I have a spaceship that i want to move with the left joystick of my controller and two face buttons, and a camera as a child of the ship, set from the point of view of the pilot. The ship should rotate at a certain angle per second when i'm holding the left stick, and stop rotating when i let it go; and the camera should look around the cockpit with a certain degree of freedom when i move the right stick, and recenter to the middle of the cockpit when i let go.

The current codes i'm using are:

    public class Movement : MonoBehaviour {
 
     public int speed = 1;
     public float smooth = 2.0F;
     public float tiltAngle = 30.0F;
 
     void Update () {
         transform.position += transform.forward * speed * Time.deltaTime;
         float pitch = Input.GetAxis("Pitch") * tiltAngle;
         float yaw = Input.GetAxis("Yaw") * tiltAngle;
         float roll = Input.GetAxis("Roll") * tiltAngle;
         Quaternion target = Quaternion.Euler(pitch, yaw, roll);
         transform.rotation = Quaternion.Slerp(transform.rotation, target, Time.deltaTime * smooth);
     }
 }

and

 public class CameraController : MonoBehaviour {

 public int maxAngleX;
 public int maxAngleY;
 public float camSmooth = 2.0F;



 void LateUpdate()
 {
     float rotateY = Input.GetAxis("CamHor") * maxAngleX;
     float rotateX = Input.GetAxis("CamVert") * maxAngleY;
     Quaternion camTarget = Quaternion.Euler(rotateX,rotateY,0);
     transform.rotation = Quaternion.Slerp(transform.rotation, camTarget, Time.deltaTime * camSmooth);
 }
 }

Now, with these scripts, the ship just changes angle while i hold the left stick, then returns to point towards the global Z axis when i let go, and similarily, when i let go of the right stick, it re-centers to point towards the global z axis, instead of it's parent's z axis. How do i fix this?